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1)After a boulder is pushed down a hill, its speed s(t) at time tt is given by the formula s(t)=v+at, where v is the initial velocity and a is the acceleration. If s(2)=16 and s(5)=25, find the initial velocity and acceleration.(round to the nearest tenth)
2) For a particular quadratic function f(x)=ax2+bx+c, f(-3)=-13f(-3)=-13 and f(2)=7. If a=-3, find b and c.
3)With the current, a person can canoe 24 miles in 44 hours. Against the same current, the same person can canoe 18 miles in 6 hours. Find the person's average rate in still water and the average rate of the current
An iron cube of side 6cm is melted and recast into a cuboid which has a square base of side 4cm as shown below. What is the height of the cuboid?
Step by step process in solving the following question. Using matrix algebra techniques, find a general solution of the system:
The profit of each bookcase is 40$ and each desk is 75$. How many of each product should be made each month in order to maximize profit.
Assuming all the heat lost by the body is absorbed by the water , find the temperature of the body and of the water at any time. Find the equilibrium temperature?
A clinical trial for a new fertility treatment was provided to 250 women for a 10 year study perio~Investigators were interested in noting when women became pregnant for the first time (subsequent pregnancies were not an outcome of interest, only fir..
Its center of mass is located at a distance of s=0.120 m from the center of the circle. If the disk is allowed to oscillate side to side as a pendulum, what is the period of oscillations?
One colored marker -red, yellow, or green - is selected and a coin is tossed. Use the counting principle to determine the number of sample points in the sample space.
Find the length of arc AC if the diameter, AB, of circle O is 24 cm. Write answer in terms of pi.
How many rectangles are there in a line of fifteen squares where sides are lined up with the adjacent sides touching the entire length of the side?
for the following problems state the null and alternate hypothesis find the chi-square test statistic decide whether to
An oil company distributes oil in a metal can shaped like a cylinder that has an actual radius of 5.1 cm and a height of 15.1 cm. A worker incorrectly measured the radius as 5 cm and the height as 15 cm.
What is the probability that Julio will win? If Jan didn't win, what is the probability that Julio did?
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